{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Notebook Examples for Chapter 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "# these are innocuous but irritating\n",
    "warnings.filterwarnings(\"ignore\", message=\"numpy.dtype size changed\")\n",
    "warnings.filterwarnings(\"ignore\", message=\"numpy.ufunc size changed\")\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<img src=\"https://earthengine.googleapis.com/api/thumb?thumbid=d75d81120ebd7a19c120732b4c59a69b&token=e987166c7f42df2c1540080a43eca072\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import IPython.display as disp\n",
    "import ee\n",
    "\n",
    "ee.Initialize()\n",
    "\n",
    "minlon = 6.31\n",
    "minlat = 50.83\n",
    "maxlon = 6.58\n",
    "maxlat = 50.95\n",
    "\n",
    "rect = ee.Geometry.Rectangle([minlon,minlat,maxlon,maxlat])\n",
    "collection = ee.ImageCollection('COPERNICUS/S1_GRD') \\\n",
    "  .filterBounds(rect) \\\n",
    "  .filterDate(ee.Date('2017-05-01'), ee.Date('2017-06-01')) \\\n",
    "  .filter(ee.Filter.eq('transmitterReceiverPolarisation', ['VV','VH'])) \\\n",
    "  .filter(ee.Filter.eq('resolution_meters', 10)) \\\n",
    "  .filter(ee.Filter.eq('instrumentMode', 'IW')) \n",
    "    \n",
    "image = ee.Image(collection.first()).clip(rect)                        \n",
    "url = image.select('VV').getThumbURL({'min':-20,'max':0})\n",
    "disp.Image(url=url)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "run scripts/ex1_1 imagery/AST_20070501 3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Covariance matrix of a multispectral image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 407.13229638  442.18038527  -78.32374081]\n",
      " [ 442.18038527  493.57036427 -120.64197555]\n",
      " [ -78.32374081 -120.64197555  438.95704379]]\n"
     ]
    }
   ],
   "source": [
    "from osgeo import gdal\n",
    "from osgeo.gdalconst import GA_ReadOnly\n",
    "\n",
    "gdal.AllRegister()\n",
    "infile = 'imagery/AST_20070501'                \n",
    "inDataset = gdal.Open(infile,GA_ReadOnly)     \n",
    "cols = inDataset.RasterXSize\n",
    "rows = inDataset.RasterYSize    \n",
    "\n",
    "#  data matrix\n",
    "G = np.zeros((rows*cols,3))                                   \n",
    "for b in range(3):\n",
    "    band = inDataset.GetRasterBand(b+1)\n",
    "    tmp = band.ReadAsArray(0,0,cols,rows).ravel()\n",
    "    G[:,b] = tmp - np.mean(tmp)\n",
    "    \n",
    "#  covariance matrix\n",
    "C = np.mat(G).T*np.mat(G)/(cols*rows-1)  \n",
    "print C  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Eigenvalues and eigenvectors of the covariance matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  4.77425683 399.58595201 935.2994956 ]\n",
      "[[-0.73352328  0.22653637 -0.64080018]\n",
      " [ 0.67736254  0.16613156 -0.71664517]\n",
      " [ 0.05588906  0.95972995  0.27530862]]\n"
     ]
    }
   ],
   "source": [
    "eigenvalues, eigenvectors = np.linalg.eigh(C)\n",
    "print eigenvalues\n",
    "print eigenvectors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1.00000000e+00 -5.58769947e-17  6.67125714e-16]\n",
      " [-5.58769947e-17  1.00000000e+00  7.62399525e-18]\n",
      " [ 6.67125714e-16  7.62399525e-18  1.00000000e+00]]\n"
     ]
    }
   ],
   "source": [
    "U = eigenvectors\n",
    "print U.T*U"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Singular value decomposition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "determinant: -0.000005\n",
      "Lambda = [2.80018439e+01 1.07456732e-03 1.53633140e-04]\n",
      "U = [[-0.26732657 -0.66950267 -0.69303873]\n",
      " [-0.5345285  -0.49538344  0.68474413]\n",
      " [-0.80175794  0.55349925 -0.2254391 ]]\n",
      "V = [[-0.26732657 -0.5345285  -0.80175794]\n",
      " [-0.66950267 -0.49538344  0.55349925]\n",
      " [ 0.69303873 -0.68474413  0.2254391 ]]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "b = np.mat([1,2,3])\n",
    "# an almost singular matrix\n",
    "A = b.T*b + np.random.rand(3,3)*0.001\n",
    "# a symmetric almost singular matrix\n",
    "A = A + A.T\n",
    "print 'determinant: %f'%np.linalg.det(A)\n",
    "# singular value decomposition\n",
    "U,Lambda,V = np.linalg.svd(A)\n",
    "print 'Lambda = %s'%str(Lambda)\n",
    "print 'U = %s'%str(U)\n",
    "print 'V = %s'%str(V)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Principal components analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "run scripts/ex1_2 imagery/AST_20070501 imagery/pca.tif"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "run scripts/dispms -f 'imagery/pca.tif' -p [1,2,3] -e 4"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.15"
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 },
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